What is the Greatest Common Factor of 50730 and 50734?

Greatest common factor (GCF) of 50730 and 50734 is 2.

GCF(50730,50734) = 2

We will now calculate the prime factors of 50730 and 50734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50730 and 50734.

How to find the GCF of 50730 and 50734?

We will first find the prime factorization of 50730 and 50734. After we will calculate the factors of 50730 and 50734 and find the biggest common factor number .

Step-1: Prime Factorization of 50730

Prime factors of 50730 are 2, 3, 5, 19, 89. Prime factorization of 50730 in exponential form is:

50730 = 2¹ × 3¹ × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 50734

Prime factors of 50734 are 2, 25367. Prime factorization of 50734 in exponential form is:

50734 = 2¹ × 25367¹

Step-3: Factors of 50730

List of positive integer factors of 50730 that divides 50730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 89, 95, 114, 178, 190, 267, 285, 445, 534, 570, 890, 1335, 1691, 2670, 3382, 5073, 8455, 10146, 16910, 25365

Step-4: Factors of 50734

List of positive integer factors of 50734 that divides 50730 without a remainder.

1, 2, 25367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50730 and 50734. The biggest common factor number is the GCF number.
So the greatest common factor 50730 and 50734 is 2.

Also check out the Least Common Multiple of 50730 and 50734